Australia's Sydney Theatre Company plans to stage "Tot Mom" in December. Oscar-winner Cate Blanchett and her husband are artistic directors of the prestigious group.
Soderbergh based the play on court documents and excerpts from the CNN show "Nancy Grace," which highlighted the investigation, the Orlando Sentinel reported.
Grace is being played by Essie Davis, who appeared in "Australia" and "The Matrix Revolutions."
A spokeswoman said Grace had no comment on the play.
Casey Anthony has pleaded not guilty. The toddler's remains were found in December 2008, months after she was reported missing.